Email this article Generalized Angles in Ptolemaic Möbius Structures. II
- Authors: Aseev V.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 59, No 5 (2018)
- Pages: 768-777
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172012
- DOI: https://doi.org/10.1134/S0037446618050038
- ID: 172012
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Abstract
We continue studying the BAD class of multivalued mappings of Ptolemaic Möbius structures in the sense of Buyalo with controlled distortion of generalized angles. In Möbius structures we introduce a Möbius-invariant version of the HTB property (homogeneous total boundedness) of metric spaces which is qualitatively equivalent to the doubling property. We show that in the presence of this property and the uniform perfectness property, a single-valued mapping is of the BAD class iff it is quasimöbius.
About the authors
V. V. Aseev
Sobolev Institute of Mathematics
Author for correspondence.
Email: btp@math.nsc.ru
Russian Federation, Novosibirsk
